Question

How many independent measurements required to construct a 1 ) parallelogram and

2 ) Rhombus

Answer 1

HEY!!

IN PARALLELOGRAM

1) If it's 2 diagonals are given.

2) If it's 3 sides are given.

IN ROHMBUS

1) If it's 2 diagonals are given.

2) If it's 3 sides are given.


BOTH NEED SAME BECAUSE ROHMBUS ROHMBUS IS A PARALLELOGRAM WHICH'S ALL SIDES ARE EQUAL

Answer 2

Before going to the answer, Just a small Note : I don't know this perfectly,So if it is correct keep it, If it isn't Delete it !. :)

Here is the answer :

(1) Parallelogram :

Parallelogram has 4 sides with opposite sides as same length, and adjacent angles as supplementary angle !.

Now, Keeping this in mind, Think of carefully how to construct unique Parallelogram,

We need 2adjacent sides, And just 1 angle between them,

Why?

if we have length of 2 adjacent sides, Then we can know the other 2 too, If we have 1 angle, Then we can calculate all the other 3 too,

So, We just need Length of adjacent sides and angle between !.

So total 3 independent measurements !.

(2) Rhombus :

A Rhombus has 4 sides with all sides of equal length, and All angles as equal measurement !.

So, Think carefully, How many least requirements we need to construct unique Rhombus,

Since it has all sides equal we need just length of 1 side, And since all angles are equal we just need 1 angle,

So,

We need Length of 1 side and angle between two sides,

This means 2 independent measurements are needed !.

Finally, We got the answer !.

Therefore :

(1) For Parallelogram : 3 independent measurements !

(2) For Rhombus : 2 independent measurements !

Note : We can have more measurements too, But I am telling the least no.of Independent measurements required !.

Hope you understand, Have a Great day !.
Thanking you, Bunti 360 !.. :)